GCD of 664, 992, 852, 116 Calculator

Given Input numbers are 664, 992, 852, 116

In the factoring method, we have to find the divisors of all numbers

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (664, 992, 852, 116) = 4.

Given numbers are 664, 992, 852, 116

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 664, 992, 852, 116 is 4.

Given numbers are 664, 992, 852, 116

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(664, 992) = 82336

GCD(664, 992) = ( 664 x 992 ) / 82336

= 664 / 992

= 664

Step2:

LCM(8, 852) = 1704

GCD(8, 852) = ( 8 x 852 ) / 1704

= 8 / 852

= 8

Step3:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

So, Greatest Common Divisor of 664, 992, 852, 116 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 779, 963, 835
• GCD of 583, 939, 148, 635
• GCD of 170, 988, 614, 325
• GCD of 245, 646, 783, 194
• GCD of 344, 328, 720, 826

Given numbers are 664, 992, 852, 116
The greatest common divisor of numbers 664, 992, 852, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 992, 852, 116 is 4.

1. What is the GCD of 664, 992, 852, 116?

GCD of given numbers 664, 992, 852, 116 is 4

2. How to calculate the greatest common divisor of 664, 992, 852, 116?

We can find the highest common divisor of 664, 992, 852, 116 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 664, 992, 852, 116 i.e 4.

3. How can I use the GCD of 664, 992, 852, 116Calculator?

Out the numbers 664, 992, 852, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.